2/7(t+2/3)=1/5(t-2/3) eching

$$\frac { 2 } { 7 } ( t + \frac { 2 } { 3 } ) = \frac { 1 } { 5 } ( t - \frac { 2 } { 3 } )$$

t uchun yechish

$$t = -\frac{34}{9} = -3\frac{7}{9} \approx -3,777777778$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

\frac{2}{7} ga t+\frac{2}{3} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{2}{7}t+\frac{2}{7}\times \frac{2}{3}=\frac{1}{5}\left(t-\frac{2}{3}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{2}{7} ni \frac{2}{3} ga ko‘paytiring.

$$\frac{2}{7}t+\frac{2\times 2}{7\times 3}=\frac{1}{5}\left(t-\frac{2}{3}\right)$$

\frac{2\times 2}{7\times 3} kasridagi ko‘paytirishlarni bajaring.

$$\frac{2}{7}t+\frac{4}{21}=\frac{1}{5}\left(t-\frac{2}{3}\right)$$

\frac{1}{5} ga t-\frac{2}{3} ni ko'paytirish orqali distributiv xususiyatdan foydalanish.

$$\frac{2}{7}t+\frac{4}{21}=\frac{1}{5}t+\frac{1}{5}\left(-\frac{2}{3}\right)$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali \frac{1}{5} ni -\frac{2}{3} ga ko‘paytiring.

$$\frac{2}{7}t+\frac{4}{21}=\frac{1}{5}t+\frac{1\left(-2\right)}{5\times 3}$$

\frac{1\left(-2\right)}{5\times 3} kasridagi ko‘paytirishlarni bajaring.

$$\frac{2}{7}t+\frac{4}{21}=\frac{1}{5}t+\frac{-2}{15}$$

\frac{-2}{15} kasri manfiy belgini olib tashlash bilan -\frac{2}{15} sifatida qayta yozilishi mumkin.

$$\frac{2}{7}t+\frac{4}{21}=\frac{1}{5}t-\frac{2}{15}$$

Ikkala tarafdan \frac{1}{5}t ni ayirish.

$$\frac{2}{7}t+\frac{4}{21}-\frac{1}{5}t=-\frac{2}{15}$$

\frac{3}{35}t ni olish uchun \frac{2}{7}t va -\frac{1}{5}t ni birlashtirish.

$$\frac{3}{35}t+\frac{4}{21}=-\frac{2}{15}$$

Ikkala tarafdan \frac{4}{21} ni ayirish.

$$\frac{3}{35}t=-\frac{2}{15}-\frac{4}{21}$$

15 va 21 ning eng kichik umumiy karralisi 105 ga teng. -\frac{2}{15} va \frac{4}{21} ni 105 maxraj bilan kasrlarga aylantirib oling.

$$\frac{3}{35}t=-\frac{14}{105}-\frac{20}{105}$$

-\frac{14}{105} va \frac{20}{105} da bir xil maxraji bor, ularning suratini ayirish orqali ayiring.

$$\frac{3}{35}t=\frac{-14-20}{105}$$

-34 olish uchun -14 dan 20 ni ayirish.

$$\frac{3}{35}t=-\frac{34}{105}$$

Ikki tarafini \frac{35}{3} va teskari kasri \frac{3}{35} ga ko‘paytiring.

$$t=-\frac{34}{105}\times \frac{35}{3}$$

Suratni maxrajga va maxrajini suratga ko‘paytirish orqali -\frac{34}{105} ni \frac{35}{3} ga ko‘paytiring.

$$t=\frac{-34\times 35}{105\times 3}$$

\frac{-34\times 35}{105\times 3} kasridagi ko‘paytirishlarni bajaring.

$$t=\frac{-1190}{315}$$

\frac{-1190}{315} ulushini 35 ni chiqarib, bekor qilish hisobiga eng past shartlarga kamaytiring.

$$t=-\frac{34}{9}$$